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Finding the Fourth Proportional to 5,789.77, 8,684.64 and 1,407.19

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Solution

The fourth proportional to 5,789.77, 8,684.64 and 1,407.19 is: 2,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.77 : 8,684.64 = 1,407.19 : x
  2. Step 2: Convert to fraction form
    5,789.77/8,684.64 = 1,407.19/x
  3. Step 3: Cross multiply
    5,789.77x = 8,684.64 × 1,407.19
  4. Step 4: Simplify right side
    5,789.77x = 12,220,938.56
  5. Step 5: Solve for x
    x = 12,220,938.56/5,789.77
  6. Step 6: Final answer
    x = 2,110.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.